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Finding the Fourth Proportional to 422,269.08, 633,425.40 and 106,728.72

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Solution

The fourth proportional to 422,269.08, 633,425.40 and 106,728.72 is: 160,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,269.08 : 633,425.40 = 106,728.72 : x
  2. Step 2: Convert to fraction form
    422,269.08/633,425.40 = 106,728.72/x
  3. Step 3: Cross multiply
    422,269.08x = 633,425.40 × 106,728.72
  4. Step 4: Simplify right side
    422,269.08x = 67,604,682,157.49
  5. Step 5: Solve for x
    x = 67,604,682,157.49/422,269.08
  6. Step 6: Final answer
    x = 160,098.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.